31144410203100 has 144 divisors (see below), whose sum is σ = 92569244522496. Its totient is φ = 8078734368000.

The previous prime is 31144410203041. The next prime is 31144410203113. The reversal of 31144410203100 is 130201444113.

It is a super-2 number, since 2×31144410203100² (a number of 28 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 45290845 + ... + 45973355.

Almost surely, 2^{31144410203100} is an apocalyptic number.

31144410203100 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 31144410203100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (46284622261248).

31144410203100 is an abundant number, since it is smaller than the sum of its proper divisors (61424834319396).

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

31144410203100 is a wasteful number, since it uses less digits than its factorization.

31144410203100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 686676 (or 686669 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 24.

Adding to 31144410203100 its reverse (130201444113), we get a palindrome (31274611647213).

The spelling of 31144410203100 in words is "thirty-one trillion, one hundred forty-four billion, four hundred ten million, two hundred three thousand, one hundred".