331311320103400 has 384 divisors, whose sum is σ = 951958195776000. Its totient is φ = 104424079011840.

The previous prime is 331311320103391. The next prime is 331311320103481. The reversal of 331311320103400 is 4301023113133.

It is a Harshad number since it is a multiple of its sum of digits (25).

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, 6167461741 + ... + 6167515459.

It is an arithmetic number, because the mean of its divisors is an integer number (2479057801500).

Almost surely, 2^{331311320103400} 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 331311320103400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (475979097888000).

331311320103400 is an abundant number, since it is smaller than the sum of its proper divisors (620646875672600).

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

331311320103400 is a wasteful number, since it uses less digits than its factorization.

331311320103400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 55141 (or 55132 counting only the distinct ones).

The product of its (nonzero) digits is 1944, while the sum is 25.

Adding to 331311320103400 its reverse (4301023113133), we get a palindrome (335612343216533).

The spelling of 331311320103400 in words is "three hundred thirty-one trillion, three hundred eleven billion, three hundred twenty million, one hundred three thousand, four hundred".