1013331010131 has 128 divisors (see below), whose sum is σ = 1733997404160. Its totient is φ = 579087360000.

The previous prime is 1013331010127. The next prime is 1013331010147. The reversal of 1013331010131 is 1310101333101.

1013331010131 is a `hidden beast` number, since 101 + 333 + 101 + 0 + 131 = 666.

It is not a de Polignac number, because 1013331010131 - 2² = 1013331010127 is a prime.

It is a super-2 number, since 2×1013331010131² (a number of 25 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (1013331010331) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 445811011 + ... + 445813283.

It is an arithmetic number, because the mean of its divisors is an integer number (13546854720).

Almost surely, 2^{1013331010131} is an apocalyptic number.

1013331010131 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

1013331010131 is a deficient number, since it is larger than the sum of its proper divisors (720666394029).

1013331010131 is a wasteful number, since it uses less digits than its factorization.

1013331010131 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3546 (or 3540 counting only the distinct ones).

The product of its (nonzero) digits is 81, while the sum is 18.

Adding to 1013331010131 its reverse (1310101333101), we get a palindrome (2323432343232).

The spelling of 1013331010131 in words is "one trillion, thirteen billion, three hundred thirty-one million, ten thousand, one hundred thirty-one".