3131110000134 has 112 divisors (see below), whose sum is σ = 7104012574464. Its totient is φ = 1034518262400.

The previous prime is 3131110000099. The next prime is 3131110000141. The reversal of 3131110000134 is 4310000111313.

It is a super-3 number, since 3×3131110000134³ (a number of 38 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a Curzon number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 55 ways as a sum of consecutive naturals, for example, 78232312 + ... + 78272324.

Almost surely, 2^{3131110000134} is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3131110000134, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3552006287232).

3131110000134 is an abundant number, since it is smaller than the sum of its proper divisors (3972902574330).

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

3131110000134 is a wasteful number, since it uses less digits than its factorization.

3131110000134 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 40505 (or 40490 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 18.

Adding to 3131110000134 its reverse (4310000111313), we get a palindrome (7441110111447).

The spelling of 3131110000134 in words is "three trillion, one hundred thirty-one billion, one hundred ten million, one hundred thirty-four", and thus it is an aban number.