2101013131 has 12 divisors (see below), whose sum is σ = 2550299472. Its totient is φ = 1722568848.

The previous prime is 2101013107. The next prime is 2101013147. The reversal of 2101013131 is 1313101012.

It is not a de Polignac number, because 2101013131 - 2⁵ = 2101013099 is a prime.

It is a super-2 number, since 2×2101013131² = 8828512353268846322, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (2101013191) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 931000 + ... + 933253.

It is an arithmetic number, because the mean of its divisors is an integer number (212524956).

Almost surely, 2^2101013131 is an apocalyptic number.

2101013131 is a deficient number, since it is larger than the sum of its proper divisors (449286341).

2101013131 is a wasteful number, since it uses less digits than its factorization.

2101013131 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1864290 (or 1864283 counting only the distinct ones).

The product of its (nonzero) digits is 18, while the sum is 13.

The square root of 2101013131 is about 45836.8097820954. The cubic root of 2101013131 is about 1280.7850675059.

Adding to 2101013131 its reverse (1313101012), we get a palindrome (3414114143).

The spelling of 2101013131 in words is "two billion, one hundred one million, thirteen thousand, one hundred thirty-one".