10122113131 has 8 divisors (see below), whose sum is σ = 10901520000. Its totient is φ = 9342818112.

The previous prime is 10122113119. The next prime is 10122113147. The reversal of 10122113131 is 13131122101.

It is a happy number.

10122113131 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 10122113131 - 2¹³ = 10122104939 is a prime.

It is a super-2 number, since 2×10122113131² (a number of 21 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (10122113431) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 326406 + ... + 356068.

It is an arithmetic number, because the mean of its divisors is an integer number (1362690000).

Almost surely, 2^10122113131 is an apocalyptic number.

10122113131 is a deficient number, since it is larger than the sum of its proper divisors (779406869).

10122113131 is a wasteful number, since it uses less digits than its factorization.

10122113131 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 55925.

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

Adding to 10122113131 its reverse (13131122101), we get a palindrome (23253235232).

The spelling of 10122113131 in words is "ten billion, one hundred twenty-two million, one hundred thirteen thousand, one hundred thirty-one".