31201010010000 has 300 divisors, whose sum is σ = 115532940883932. Its totient is φ = 7830841344000.

The previous prime is 31201010009993. The next prime is 31201010010047. The reversal of 31201010010000 is 1001010213.

It can be written as a sum of positive squares in 10 ways, for example, as 19223208887184 + 11977801122816 = 4384428^2 + 3460896^2 .

It is a tau number, because it is divible by the number of its divisors (300).

It is a Harshad number since it is a multiple of its sum of digits (9).

It is an unprimeable number.

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 59 ways as a sum of consecutive naturals, for example, 8666409 + ... + 11726408.

Almost surely, 2^{31201010010000} is an apocalyptic number.

31201010010000 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

31201010010000 is an abundant number, since it is smaller than the sum of its proper divisors (84331930873932).

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

31201010010000 is a wasteful number, since it uses less digits than its factorization.

31201010010000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20392868 (or 20392844 counting only the distinct ones).

The product of its (nonzero) digits is 6, while the sum is 9.

Adding to 31201010010000 its reverse (1001010213), we get a palindrome (31202011020213).

The spelling of 31201010010000 in words is "thirty-one trillion, two hundred one billion, ten million, ten thousand".