10101131131 has 16 divisors (see below), whose sum is σ = 12496598464. Its totient is φ = 7950680064.

The previous prime is 10101131071. The next prime is 10101131141. The reversal of 10101131131 is 13113110101.

10101131131 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a cyclic number.

It is not a de Polignac number, because 10101131131 - 2¹³ = 10101122939 is a prime.

It is a super-2 number, since 2×10101131131² (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (13).

It is not an unprimeable number, because it can be changed into a prime (10101131141) 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 15 ways as a sum of consecutive naturals, for example, 270006 + ... + 305131.

It is an arithmetic number, because the mean of its divisors is an integer number (781037404).

Almost surely, 2^10101131131 is an apocalyptic number.

10101131131 is a deficient number, since it is larger than the sum of its proper divisors (2395467333).

10101131131 is a wasteful number, since it uses less digits than its factorization.

10101131131 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 575350.

The product of its (nonzero) digits is 9, while the sum is 13.

Adding to 10101131131 its reverse (13113110101), we get a palindrome (23214241232).

It can be divided in two parts, 10101 and 131131, that multiplied together give a palindrome (1324554231).

The spelling of 10101131131 in words is "ten billion, one hundred one million, one hundred thirty-one thousand, one hundred thirty-one".