31106944134 has 256 divisors, whose sum is σ = 86531328000. Its totient is φ = 8082063360.

The previous prime is 31106944111. The next prime is 31106944147. The reversal of 31106944134 is 43144960113.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 48528454 + ... + 48529094.

It is an arithmetic number, because the mean of its divisors is an integer number (338013000).

Almost surely, 2^31106944134 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 31106944134, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (43265664000).

31106944134 is an abundant number, since it is smaller than the sum of its proper divisors (55424383866).

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

31106944134 is a wasteful number, since it uses less digits than its factorization.

31106944134 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 940 (or 934 counting only the distinct ones).

The product of its (nonzero) digits is 31104, while the sum is 36.

The spelling of 31106944134 in words is "thirty-one billion, one hundred six million, nine hundred forty-four thousand, one hundred thirty-four".