1033113112400 has 60 divisors (see below), whose sum is σ = 2492353465404. Its totient is φ = 411530496000.

The previous prime is 1033113112373. The next prime is 1033113112477. The reversal of 1033113112400 is 42113113301.

It can be written as a sum of positive squares in 6 ways, for example, as 146027922496 + 887085189904 = 382136^2 + 941852^2 .

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 5262071 + ... + 5454870.

Almost surely, 2^{1033113112400} is an apocalyptic number.

1033113112400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1033113112400 is an abundant number, since it is smaller than the sum of its proper divisors (1459240353004).

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

1033113112400 is a wasteful number, since it uses less digits than its factorization.

1033113112400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10717200 (or 10717189 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 20.

Adding to 1033113112400 its reverse (42113113301), we get a palindrome (1075226225701).

Subtracting from 1033113112400 its reverse (42113113301), we obtain a palindrome (990999999099).

The spelling of 1033113112400 in words is "one trillion, thirty-three billion, one hundred thirteen million, one hundred twelve thousand, four hundred".