10033133131400 has 24 divisors (see below), whose sum is σ = 23327034530970. Its totient is φ = 4013253252480.

The previous prime is 10033133131369. The next prime is 10033133131403. The reversal of 10033133131400 is 413133133001.

It can be written as a sum of positive squares in 3 ways, for example, as 4246789479076 + 5786343652324 = 2060774^2 + 2405482^2 .

It is not an unprimeable number, because it can be changed into a prime (10033133131403) 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, 25082832629 + ... + 25082833028.

Almost surely, 2^{10033133131400} is an apocalyptic number.

10033133131400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10033133131400 is an abundant number, since it is smaller than the sum of its proper divisors (13293901399570).

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

10033133131400 is a wasteful number, since it uses less digits than its factorization.

10033133131400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 50165665673 (or 50165665664 counting only the distinct ones).

The product of its (nonzero) digits is 972, while the sum is 23.

Adding to 10033133131400 its reverse (413133133001), we get a palindrome (10446266264401).

The spelling of 10033133131400 in words is "ten trillion, thirty-three billion, one hundred thirty-three million, one hundred thirty-one thousand, four hundred".