31313421341400 has 384 divisors, whose sum is σ = 112056867901440. Its totient is φ = 7158811968000.

The previous prime is 31313421341339. The next prime is 31313421341441. The reversal of 31313421341400 is 414312431313.

It is a super-2 number, since 2×31313421341400² (a number of 28 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (30).

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, 9325119 + ... + 12230481.

It is an arithmetic number, because the mean of its divisors is an integer number (291814760160).

Almost surely, 2^{31313421341400} is an apocalyptic number.

31313421341400 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 31313421341400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (56028433950720).

31313421341400 is an abundant number, since it is smaller than the sum of its proper divisors (80743446560040).

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

31313421341400 is a wasteful number, since it uses less digits than its factorization.

31313421341400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2905487 (or 2905478 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 30.

Adding to 31313421341400 its reverse (414312431313), we get a palindrome (31727733772713).

The spelling of 31313421341400 in words is "thirty-one trillion, three hundred thirteen billion, four hundred twenty-one million, three hundred forty-one thousand, four hundred".