1331131320400 has 240 divisors, whose sum is σ = 3821736536064. Its totient is φ = 435638269440.

The previous prime is 1331131320367. The next prime is 1331131320461. The reversal of 1331131320400 is 40231311331.

It is a congruent number.

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, 31341579 + ... + 31384021.

Almost surely, 2^{1331131320400} is an apocalyptic number.

1331131320400 is a gapful number since it is divisible by the number (10) 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 1331131320400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1910868268032).

1331131320400 is an abundant number, since it is smaller than the sum of its proper divisors (2490605215664).

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

1331131320400 is a wasteful number, since it uses less digits than its factorization.

1331131320400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 42978 (or 42967 counting only the distinct ones).

The product of its (nonzero) digits is 648, while the sum is 22.

Adding to 1331131320400 its reverse (40231311331), we get a palindrome (1371362631731).

The spelling of 1331131320400 in words is "one trillion, three hundred thirty-one billion, one hundred thirty-one million, three hundred twenty thousand, four hundred".