106013838213 has 12 divisors (see below), whose sum is σ = 156389208768. Its totient is φ = 69172149480.

The previous prime is 106013838209. The next prime is 106013838233. The reversal of 106013838213 is 312838310601.

106013838213 is a `hidden beast` number, since 1 + 0 + 60 + 1 + 383 + 8 + 213 = 666.

It is not a de Polignac number, because 106013838213 - 2² = 106013838209 is a prime.

It is a super-2 number, since 2×106013838213² (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (106013838233) 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, 125311443 + ... + 125312288.

It is an arithmetic number, because the mean of its divisors is an integer number (13032434064).

Almost surely, 2^106013838213 is an apocalyptic number.

It is an amenable number.

106013838213 is a deficient number, since it is larger than the sum of its proper divisors (50375370555).

106013838213 is a wasteful number, since it uses less digits than its factorization.

106013838213 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 250623784 (or 250623781 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 36.

The spelling of 106013838213 in words is "one hundred six billion, thirteen million, eight hundred thirty-eight thousand, two hundred thirteen".