31013204434432 has 160 divisors (see below), whose sum is σ = 69961798345824. Its totient is φ = 13611289804800.

The previous prime is 31013204434363. The next prime is 31013204434439. The reversal of 31013204434432 is 23443440231013.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (31013204434439) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 21706158 + ... + 23090770.

Almost surely, 2^{31013204434432} is an apocalyptic number.

31013204434432 is a gapful number since it is divisible by the number (32) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 31013204434432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (34980899172912).

31013204434432 is an abundant number, since it is smaller than the sum of its proper divisors (38948593911392).

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

31013204434432 is a wasteful number, since it uses less digits than its factorization.

31013204434432 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1384780 (or 1384764 counting only the distinct ones).

The product of its (nonzero) digits is 82944, while the sum is 34.

Adding to 31013204434432 its reverse (23443440231013), we get a palindrome (54456644665445).

The spelling of 31013204434432 in words is "thirty-one trillion, thirteen billion, two hundred four million, four hundred thirty-four thousand, four hundred thirty-two".