1013101213131 has 64 divisors (see below), whose sum is σ = 1737574502400. Its totient is φ = 571403289600.

The previous prime is 1013101213127. The next prime is 1013101213169. The reversal of 1013101213131 is 1313121013101.

1013101213131 is a `hidden beast` number, since 10 + 1 + 310 + 1 + 213 + 131 = 666.

It is not a de Polignac number, because 1013101213131 - 2² = 1013101213127 is a prime.

It is a super-2 number, since 2×1013101213131² (a number of 25 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (1013101213171) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 56146471 + ... + 56164511.

It is an arithmetic number, because the mean of its divisors is an integer number (27149601600).

Almost surely, 2^{1013101213131} is an apocalyptic number.

1013101213131 is a deficient number, since it is larger than the sum of its proper divisors (724473289269).

1013101213131 is a wasteful number, since it uses less digits than its factorization.

1013101213131 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21897 (or 21891 counting only the distinct ones).

The product of its (nonzero) digits is 54, while the sum is 18.

Adding to 1013101213131 its reverse (1313121013101), we get a palindrome (2326222226232).

The spelling of 1013101213131 in words is "one trillion, thirteen billion, one hundred one million, two hundred thirteen thousand, one hundred thirty-one".