31020013211200 has 168 divisors, whose sum is σ = 82205441037608. Its totient is φ = 11452792504320.

The previous prime is 31020013211171. The next prime is 31020013211233. The reversal of 31020013211200 is 211231002013.

31020013211200 is digitally balanced in base 5, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 12 ways, for example, as 13297866597376 + 17722146613824 = 3646624^2 + 4209768^2 .

It is a Harshad number since it is a multiple of its sum of digits (16).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 393350974 + ... + 393429826.

Almost surely, 2^{31020013211200} 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 31020013211200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (41102720518804).

31020013211200 is an abundant number, since it is smaller than the sum of its proper divisors (51185427826408).

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

31020013211200 is a wasteful number, since it uses less digits than its factorization.

31020013211200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 97801 (or 97786 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 16.

Adding to 31020013211200 its reverse (211231002013), we get a palindrome (31231244213213).

The spelling of 31020013211200 in words is "thirty-one trillion, twenty billion, thirteen million, two hundred eleven thousand, two hundred".