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133113235251213 = 3373952117820977
BaseRepresentation
bin11110010001000011010111…
…000110100010000000001101
3122110022111112020101022221000
4132101003113012202000031
5114421411401211014323
61151035213121530513
740016054026545360
oct3621032706420015
9573274466338830
10133113235251213
1139461008054148
1212b1a2a11a3a39
1359376a79439c9
1424c2a01bdc0d7
15105c8a9e47e43
hex7910d71a200d

133113235251213 has 32 divisors (see below), whose sum is σ = 225382621605120. Its totient is φ = 76062776924160.

The previous prime is 133113235251211. The next prime is 133113235251221. The reversal of 133113235251213 is 312152532311331.

133113235251213 is a `hidden beast` number, since 1 + 3 + 3 + 1 + 1 + 3 + 2 + 3 + 525 + 121 + 3 = 666.

It is not a de Polignac number, because 133113235251213 - 21 = 133113235251211 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (133113235251211) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1441020 + ... + 16379957.

It is an arithmetic number, because the mean of its divisors is an integer number (7043206925160).

Almost surely, 2133113235251213 is an apocalyptic number.

It is an amenable number.

133113235251213 is a deficient number, since it is larger than the sum of its proper divisors (92269386353907).

133113235251213 is a wasteful number, since it uses less digits than its factorization.

133113235251213 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17860514 (or 17860508 counting only the distinct ones).

The product of its digits is 48600, while the sum is 36.

Adding to 133113235251213 its reverse (312152532311331), we get a palindrome (445265767562544).

The spelling of 133113235251213 in words is "one hundred thirty-three trillion, one hundred thirteen billion, two hundred thirty-five million, two hundred fifty-one thousand, two hundred thirteen".

Divisors: 1 3 7 9 21 27 63 189 39521 118563 276647 355689 829941 1067067 2489823 7469469 17820977 53462931 124746839 160388793 374240517 481166379 1122721551 3368164653 704302832017 2112908496051 4930119824119 6338725488153 14790359472357 19016176464459 44371078417071 133113235251213