101311431252 has 24 divisors (see below), whose sum is σ = 250298830656. Its totient is φ = 31783978368.

The previous prime is 101311431239. The next prime is 101311431301. The reversal of 101311431252 is 252134113101.

101311431252 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×101311431252² (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 248312128 + ... + 248312535.

It is an arithmetic number, because the mean of its divisors is an integer number (10429117944).

Almost surely, 2^101311431252 is an apocalyptic number.

101311431252 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

101311431252 is an abundant number, since it is smaller than the sum of its proper divisors (148987399404).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

101311431252 is a wasteful number, since it uses less digits than its factorization.

101311431252 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 496624687 (or 496624685 counting only the distinct ones).

The product of its (nonzero) digits is 720, while the sum is 24.

Adding to 101311431252 its reverse (252134113101), we get a palindrome (353445544353).

The spelling of 101311431252 in words is "one hundred one billion, three hundred eleven million, four hundred thirty-one thousand, two hundred fifty-two".