10402121133 has 12 divisors (see below), whose sum is σ = 15431375388. Its totient is φ = 6747321600.

The previous prime is 10402121117. The next prime is 10402121137. The reversal of 10402121133 is 33112120401.

10402121133 is a `hidden beast` number, since 10 + 402 + 121 + 133 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 6713016489 + 3689104644 = 81933^2 + 60738^2 .

It is not a de Polignac number, because 10402121133 - 2⁴ = 10402121117 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10402121137) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 15618468 + ... + 15619133.

It is an arithmetic number, because the mean of its divisors is an integer number (1285947949).

Almost surely, 2^10402121133 is an apocalyptic number.

It is an amenable number.

10402121133 is a deficient number, since it is larger than the sum of its proper divisors (5029254255).

10402121133 is a wasteful number, since it uses less digits than its factorization.

10402121133 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 31237644 (or 31237641 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

Adding to 10402121133 its reverse (33112120401), we get a palindrome (43514241534).

The spelling of 10402121133 in words is "ten billion, four hundred two million, one hundred twenty-one thousand, one hundred thirty-three".