31010010100032 has 224 divisors, whose sum is σ = 83841018081408. Its totient is φ = 10112578560000.

The previous prime is 31010010099977. The next prime is 31010010100033. The reversal of 31010010100032 is 23000101001013.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a junction number, because it is equal to n+sod(n) for n = 31010010099990 and 31010010100017.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (31010010100033) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 5290904782 + ... + 5290910642.

It is an arithmetic number, because the mean of its divisors is an integer number (374290259292).

Almost surely, 2^{31010010100032} is an apocalyptic number.

31010010100032 is a gapful number since it is divisible by the number (32) 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 31010010100032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (41920509040704).

31010010100032 is an abundant number, since it is smaller than the sum of its proper divisors (52831007981376).

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

31010010100032 is a wasteful number, since it uses less digits than its factorization.

31010010100032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8289 (or 8279 counting only the distinct ones).

The product of its (nonzero) digits is 18, while the sum is 12.

Adding to 31010010100032 its reverse (23000101001013), we get a palindrome (54010111101045).

The spelling of 31010010100032 in words is "thirty-one trillion, ten billion, ten million, one hundred thousand, thirty-two".