10133140302400 has 42 divisors (see below), whose sum is σ = 24933858360530. Its totient is φ = 4053256120320.

The previous prime is 10133140302347. The next prime is 10133140302401. The reversal of 10133140302400 is 420304133101.

It can be written as a sum of positive squares in 3 ways, for example, as 2250792069696 + 7882348232704 = 1500264^2 + 2807552^2 .

It is not an unprimeable number, because it can be changed into a prime (10133140302401) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 3166604745 + ... + 3166607944.

Almost surely, 2^{10133140302400} is an apocalyptic number.

10133140302400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10133140302400 is an abundant number, since it is smaller than the sum of its proper divisors (14800718058130).

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

10133140302400 is an equidigital number, since it uses as much as digits as its factorization.

10133140302400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6333212711 (or 6333212696 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 22.

Adding to 10133140302400 its reverse (420304133101), we get a palindrome (10553444435501).

The spelling of 10133140302400 in words is "ten trillion, one hundred thirty-three billion, one hundred forty million, three hundred two thousand, four hundred".