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1310132013003 = 331117924643681
BaseRepresentation
bin10011000100001001111…
…101000000011111001011
311122020200100112001011000
4103010021331000133023
5132431122243404003
62441511043510043
7163440202240032
oct23041175003713
94566610461130
101310132013003
11465695403560
12191ab4688323
13967112566c8
14475a7073719
152412d6ad1a3
hex13109f407cb

1310132013003 has 32 divisors (see below), whose sum is σ = 2129214124800. Its totient is φ = 789583507200.

The previous prime is 1310132012999. The next prime is 1310132013019. The reversal of 1310132013003 is 3003102310131.

It is a happy number.

1310132013003 is a `hidden beast` number, since 1 + 310 + 1 + 320 + 1 + 30 + 0 + 3 = 666.

It is not a de Polignac number, because 1310132013003 - 22 = 1310132012999 is a prime.

It is a super-2 number, since 2×13101320130032 (a number of 25 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (1310132013803) 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, 12268678 + ... + 12375003.

It is an arithmetic number, because the mean of its divisors is an integer number (66537941400).

Almost surely, 21310132013003 is an apocalyptic number.

1310132013003 is a deficient number, since it is larger than the sum of its proper divisors (819082111797).

1310132013003 is a wasteful number, since it uses less digits than its factorization.

1310132013003 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 24643880 (or 24643874 counting only the distinct ones).

The product of its (nonzero) digits is 162, while the sum is 18.

Adding to 1310132013003 its reverse (3003102310131), we get a palindrome (4313234323134).

The spelling of 1310132013003 in words is "one trillion, three hundred ten billion, one hundred thirty-two million, thirteen thousand, three".

Divisors: 1 3 9 11 27 33 99 179 297 537 1611 1969 4833 5907 17721 53163 24643681 73931043 221793129 271080491 665379387 813241473 2439724419 4411218899 7319173257 13233656697 39700970091 48523407889 119102910273 145570223667 436710671001 1310132013003