31000102013100 has 576 divisors, whose sum is σ = 102005150252544. Its totient is φ = 7203456000000.

The previous prime is 31000102013053. The next prime is 31000102013131. The reversal of 31000102013100 is 131020100013.

It is a super-2 number, since 2×31000102013100² (a number of 28 digits) contains 22 as substring.

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

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 1790145642 + ... + 1790162958.

It is an arithmetic number, because the mean of its divisors is an integer number (177092274744).

Almost surely, 2^{31000102013100} is an apocalyptic number.

31000102013100 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 31000102013100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (51002575126272).

31000102013100 is an abundant number, since it is smaller than the sum of its proper divisors (71005048239444).

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

31000102013100 is a wasteful number, since it uses less digits than its factorization.

31000102013100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17618 (or 17611 counting only the distinct ones).

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

Adding to 31000102013100 its reverse (131020100013), we get a palindrome (31131122113113).

The spelling of 31000102013100 in words is "thirty-one trillion, one hundred two million, thirteen thousand, one hundred".