101024314431 has 48 divisors (see below), whose sum is σ = 142291766400. Its totient is φ = 63746819136.

The previous prime is 101024314411. The next prime is 101024314471. The reversal of 101024314431 is 134413420101.

It is not a de Polignac number, because 101024314431 - 2¹¹ = 101024312383 is a prime.

It is a super-2 number, since 2×101024314431² (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101024314411) 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 47 ways as a sum of consecutive naturals, for example, 92427921 + ... + 92429013.

It is an arithmetic number, because the mean of its divisors is an integer number (2964411800).

Almost surely, 2^101024314431 is an apocalyptic number.

101024314431 is a deficient number, since it is larger than the sum of its proper divisors (41267451969).

101024314431 is a wasteful number, since it uses less digits than its factorization.

101024314431 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1700 (or 1677 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 24.

Adding to 101024314431 its reverse (134413420101), we get a palindrome (235437734532).

The spelling of 101024314431 in words is "one hundred one billion, twenty-four million, three hundred fourteen thousand, four hundred thirty-one".