31342013210144 has 384 divisors, whose sum is σ = 83049108710400. Its totient is φ = 11539365691392.

The previous prime is 31342013210083. The next prime is 31342013210251. The reversal of 31342013210144 is 44101231024313.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 121298432 + ... + 121556544.

It is an arithmetic number, because the mean of its divisors is an integer number (216273720600).

Almost surely, 2^{31342013210144} 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 31342013210144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (41524554355200).

31342013210144 is an abundant number, since it is smaller than the sum of its proper divisors (51707095500256).

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

31342013210144 is a wasteful number, since it uses less digits than its factorization.

31342013210144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 258217 (or 258195 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 29.

Adding to 31342013210144 its reverse (44101231024313), we get a palindrome (75443244234457).

The spelling of 31342013210144 in words is "thirty-one trillion, three hundred forty-two billion, thirteen million, two hundred ten thousand, one hundred forty-four".