3131034334340 has 144 divisors (see below), whose sum is σ = 7582616375040. Its totient is φ = 1076815280640.

The previous prime is 3131034334327. The next prime is 3131034334357. The reversal of 3131034334340 is 434334301313.

It is a junction number, because it is equal to n+sod(n) for n = 3131034334297 and 3131034334306.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 10206677 + ... + 10508963.

It is an arithmetic number, because the mean of its divisors is an integer number (52657058160).

Almost surely, 2^{3131034334340} 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 3131034334340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3791308187520).

3131034334340 is an abundant number, since it is smaller than the sum of its proper divisors (4451582040700).

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

3131034334340 is a wasteful number, since it uses less digits than its factorization.

3131034334340 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 302442 (or 302417 counting only the distinct ones).

The product of its (nonzero) digits is 46656, while the sum is 32.

Adding to 3131034334340 its reverse (434334301313), we get a palindrome (3565368635653).

The spelling of 3131034334340 in words is "three trillion, one hundred thirty-one billion, thirty-four million, three hundred thirty-four thousand, three hundred forty".