10213131201 has 144 divisors (see below), whose sum is σ = 18112889088. Its totient is φ = 5094835200.

The previous prime is 10213131193. The next prime is 10213131223.

It is a happy number.

10213131201 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 10213131201 - 2³ = 10213131193 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10213131001) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 37686696 + ... + 37686966.

It is an arithmetic number, because the mean of its divisors is an integer number (125783952).

Almost surely, 2^10213131201 is an apocalyptic number.

It is an amenable number.

10213131201 is a deficient number, since it is larger than the sum of its proper divisors (7899757887).

10213131201 is a wasteful number, since it uses less digits than its factorization.

10213131201 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 392 (or 372 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 15.

The spelling of 10213131201 in words is "ten billion, two hundred thirteen million, one hundred thirty-one thousand, two hundred one".