31301132010000 has 200 divisors, whose sum is σ = 101076419817120. Its totient is φ = 8344309248000.

The previous prime is 31301132009981. The next prime is 31301132010023. The reversal of 31301132010000 is 1023110313.

It is a tau number, because it is divible by the number of its divisors (200).

It is a Harshad number since it is a multiple of its sum of digits (15).

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 39 ways as a sum of consecutive naturals, for example, 94905379 + ... + 95234621.

Almost surely, 2^{31301132010000} is an apocalyptic number.

31301132010000 is a gapful number since it is divisible by the number (30) 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 31301132010000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (50538209908560).

31301132010000 is an abundant number, since it is smaller than the sum of its proper divisors (69775287807120).

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

31301132010000 is a wasteful number, since it uses less digits than its factorization.

31301132010000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 332443 (or 332422 counting only the distinct ones).

The product of its (nonzero) digits is 54, while the sum is 15.

Adding to 31301132010000 its reverse (1023110313), we get a palindrome (31302155120313).

The spelling of 31301132010000 in words is "thirty-one trillion, three hundred one billion, one hundred thirty-two million, ten thousand".