31011344314344 has 96 divisors (see below), whose sum is σ = 86734870659840. Its totient is φ = 9999449222400.

The previous prime is 31011344314339. The next prime is 31011344314429. The reversal of 31011344314344 is 44341344311013.

31011344314344 is a `hidden beast` number, since 3 + 10 + 1 + 134 + 431 + 43 + 44 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 31011344314299 and 31011344314308.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2382879 + ... + 8228049.

It is an arithmetic number, because the mean of its divisors is an integer number (903488236040).

Almost surely, 2^{31011344314344} 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 31011344314344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (43367435329920).

31011344314344 is an abundant number, since it is smaller than the sum of its proper divisors (55723526345496).

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

31011344314344 is a wasteful number, since it uses less digits than its factorization.

31011344314344 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5847591 (or 5847584 counting only the distinct ones).

The product of its (nonzero) digits is 82944, while the sum is 36.

Adding to 31011344314344 its reverse (44341344311013), we get a palindrome (75352688625357).

The spelling of 31011344314344 in words is "thirty-one trillion, eleven billion, three hundred forty-four million, three hundred fourteen thousand, three hundred forty-four".