1013331230400 has 336 divisors, whose sum is σ = 3423791577600. Its totient is φ = 262273290240.

The previous prime is 1013331230389. The next prime is 1013331230447. The reversal of 1013331230400 is 40321333101.

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, 22350154 + ... + 22395446.

Almost surely, 2^{1013331230400} is an apocalyptic number.

1013331230400 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 1013331230400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1711895788800).

1013331230400 is an abundant number, since it is smaller than the sum of its proper divisors (2410460347200).

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

1013331230400 is a wasteful number, since it uses less digits than its factorization.

1013331230400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 45456 (or 45441 counting only the distinct ones).

The product of its (nonzero) digits is 648, while the sum is 21.

Adding to 1013331230400 its reverse (40321333101), we get a palindrome (1053652563501).

The spelling of 1013331230400 in words is "one trillion, thirteen billion, three hundred thirty-one million, two hundred thirty thousand, four hundred".