31142213300000 has 576 divisors, whose sum is σ = 89162839463040. Its totient is φ = 10580736000000.

The previous prime is 31142213299993. The next prime is 31142213300027. The reversal of 31142213300000 is 331224113.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 2599294010 + ... + 2599305990.

It is an arithmetic number, because the mean of its divisors is an integer number (154796596290).

Almost surely, 2^{31142213300000} 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 31142213300000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (44581419731520).

31142213300000 is an abundant number, since it is smaller than the sum of its proper divisors (58020626163040).

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

31142213300000 is a wasteful number, since it uses less digits than its factorization.

31142213300000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12183 (or 12155 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 20.

Adding to 31142213300000 its reverse (331224113), we get a palindrome (31142544524113).

The spelling of 31142213300000 in words is "thirty-one trillion, one hundred forty-two billion, two hundred thirteen million, three hundred thousand".