31012134400 has 480 divisors, whose sum is σ = 92383774560. Its totient is φ = 10192158720.

The previous prime is 31012134397. The next prime is 31012134431. The reversal of 31012134400 is 443121013.

It is a Harshad number since it is a multiple of its sum of digits (19).

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 47 ways as a sum of consecutive naturals, for example, 53746912 + ... + 53747488.

It is an arithmetic number, because the mean of its divisors is an integer number (192466197).

Almost surely, 2^31012134400 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 31012134400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (46191887280).

31012134400 is an abundant number, since it is smaller than the sum of its proper divisors (61371640160).

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

31012134400 is a wasteful number, since it uses less digits than its factorization.

31012134400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 654 (or 633 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 19.

Adding to 31012134400 its reverse (443121013), we get a palindrome (31455255413).

The spelling of 31012134400 in words is "thirty-one billion, twelve million, one hundred thirty-four thousand, four hundred".