10100210131213 has 16 divisors (see below), whose sum is σ = 10158220229760. Its totient is φ = 10042327944000.

The previous prime is 10100210131163. The next prime is 10100210131243. The reversal of 10100210131213 is 31213101200101.

It is a happy number.

It is a cyclic number.

It is not a de Polignac number, because 10100210131213 - 2¹³ = 10100210123021 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10100210131243) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1066881306 + ... + 1066890772.

It is an arithmetic number, because the mean of its divisors is an integer number (634888764360).

Almost surely, 2^{10100210131213} is an apocalyptic number.

It is an amenable number.

10100210131213 is a deficient number, since it is larger than the sum of its proper divisors (58010098547).

10100210131213 is an equidigital number, since it uses as much as digits as its factorization.

10100210131213 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15588.

The product of its (nonzero) digits is 36, while the sum is 16.

Adding to 10100210131213 its reverse (31213101200101), we get a palindrome (41313311331314).

The spelling of 10100210131213 in words is "ten trillion, one hundred billion, two hundred ten million, one hundred thirty-one thousand, two hundred thirteen".