31135284010000 has 75 divisors (see below), whose sum is σ = 75382987090411. Its totient is φ = 12453890408000.

The previous prime is 31135284009857. The next prime is 31135284010099. The reversal of 31135284010000 is 1048253113.

It is a happy number.

The square root of 31135284010000 is 5579900.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 2 ways, for example, as 2441006266384 + 28694277743616 = 1562372^2 + 5356704^2 .

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 14 ways as a sum of consecutive naturals, for example, 557962101 + ... + 558017899.

Almost surely, 2^{31135284010000} is an apocalyptic number.

31135284010000 is the 5579900-th square number.

It is an amenable number.

31135284010000 is an abundant number, since it is smaller than the sum of its proper divisors (44247703080411).

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

31135284010000 is an frugal number, since it uses more digits than its factorization.

31135284010000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 111626 (or 55806 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 28.

The spelling of 31135284010000 in words is "thirty-one trillion, one hundred thirty-five billion, two hundred eighty-four million, ten thousand".