10211313120129 has 64 divisors (see below), whose sum is σ = 16931370470400. Its totient is φ = 6029941881600.

The previous prime is 10211313120077. The next prime is 10211313120139. The reversal of 10211313120129 is 92102131311201.

10211313120129 is a `hidden beast` number, since 1 + 0 + 211 + 313 + 12 + 0 + 129 = 666.

It is not a de Polignac number, because 10211313120129 - 2²¹ = 10211311022977 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (10211313120139) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 598387 + ... + 4558584.

It is an arithmetic number, because the mean of its divisors is an integer number (264552663600).

Almost surely, 2^{10211313120129} is an apocalyptic number.

It is an amenable number.

10211313120129 is a deficient number, since it is larger than the sum of its proper divisors (6720057350271).

10211313120129 is a wasteful number, since it uses less digits than its factorization.

10211313120129 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5157163 (or 5157157 counting only the distinct ones).

The product of its (nonzero) digits is 648, while the sum is 27.

The spelling of 10211313120129 in words is "ten trillion, two hundred eleven billion, three hundred thirteen million, one hundred twenty thousand, one hundred twenty-nine".