31130133001044 has 288 divisors, whose sum is σ = 92465145077760. Its totient is φ = 8060545785600.

The previous prime is 31130133001039. The next prime is 31130133001069. The reversal of 31130133001044 is 44010033103113.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 6653157097 + ... + 6653161775.

It is an arithmetic number, because the mean of its divisors is an integer number (321059531520).

Almost surely, 2^{31130133001044} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 31130133001044, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (46232572538880).

31130133001044 is an abundant number, since it is smaller than the sum of its proper divisors (61335012076716).

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

31130133001044 is a wasteful number, since it uses less digits than its factorization.

31130133001044 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7699 (or 7690 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 24.

Adding to 31130133001044 its reverse (44010033103113), we get a palindrome (75140166104157).

The spelling of 31130133001044 in words is "thirty-one trillion, one hundred thirty billion, one hundred thirty-three million, one thousand, forty-four".