101156431241313 has 32 divisors (see below), whose sum is σ = 171271647436800. Its totient is φ = 57803168980368.

The previous prime is 101156431241311. The next prime is 101156431241363. The reversal of 101156431241313 is 313142134651101.

It is a happy number.

101156431241313 is a `hidden beast` number, since 1 + 0 + 1 + 1 + 5 + 643 + 1 + 2 + 4 + 1 + 3 + 1 + 3 = 666.

It is not a de Polignac number, because 101156431241313 - 2¹ = 101156431241311 is a prime.

It is a super-4 number, since 4×101156431241313⁴ (a number of 57 digits) contains 4444 as substring.

It is not an unprimeable number, because it can be changed into a prime (101156431241311) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 19859728 + ... + 24427886.

It is an arithmetic number, because the mean of its divisors is an integer number (5352238982400).

Almost surely, 2^{101156431241313} is an apocalyptic number.

It is an amenable number.

101156431241313 is a deficient number, since it is larger than the sum of its proper divisors (70115216195487).

101156431241313 is a wasteful number, since it uses less digits than its factorization.

101156431241313 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4685338 (or 4685332 counting only the distinct ones).

The product of its (nonzero) digits is 25920, while the sum is 36.

Adding to 101156431241313 its reverse (313142134651101), we get a palindrome (414298565892414).

The spelling of 101156431241313 in words is "one hundred one trillion, one hundred fifty-six billion, four hundred thirty-one million, two hundred forty-one thousand, three hundred thirteen".