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133211012121 = 321121131720117
BaseRepresentation
bin111110000001111111…
…1101011110000011001
3110201211201000120011200
41330003333223300121
54140304004341441
6141110222144413
712424043630505
oct1740377536031
9421751016150
10133211012121
1151549164060
1221998122109
13c73c1ca7c5
146639b1d305
1536e9bd97b6
hex1f03febc19

133211012121 has 48 divisors (see below), whose sum is σ = 211578913728. Its totient is φ = 80093865600.

The previous prime is 133211012111. The next prime is 133211012131. The reversal of 133211012121 is 121210112331.

It is an interprime number because it is at equal distance from previous prime (133211012111) and next prime (133211012131).

It is not a de Polignac number, because 133211012121 - 26 = 133211012057 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 133211012094 and 133211012103.

It is not an unprimeable number, because it can be changed into a prime (133211012101) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 6611755 + ... + 6631871.

It is an arithmetic number, because the mean of its divisors is an integer number (4407894036).

Almost surely, 2133211012121 is an apocalyptic number.

133211012121 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

133211012121 is a deficient number, since it is larger than the sum of its proper divisors (78367901607).

133211012121 is a wasteful number, since it uses less digits than its factorization.

133211012121 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 20662 (or 20659 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 18.

Adding to 133211012121 its reverse (121210112331), we get a palindrome (254421124452).

The spelling of 133211012121 in words is "one hundred thirty-three billion, two hundred eleven million, twelve thousand, one hundred twenty-one".

Divisors: 1 3 9 11 33 99 211 317 633 951 1899 2321 2853 3487 6963 10461 20117 20889 31383 60351 66887 181053 200661 221287 601983 663861 735757 1991583 2207271 4244687 6377089 6621813 12734061 19131267 38202183 46691557 57393801 70147979 140074671 210443937 420224013 631331811 1345565779 4036697337 12110092011 14801223569 44403670707 133211012121