10131024101331 has 16 divisors (see below), whose sum is σ = 15443530861568. Its totient is φ = 5786989185600.

The previous prime is 10131024101323. The next prime is 10131024101351. The reversal of 10131024101331 is 13310142013101.

It is not a de Polignac number, because 10131024101331 - 2³ = 10131024101323 is a prime.

It is a super-2 number, since 2×10131024101331² (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 10131024101298 and 10131024101307.

It is not an unprimeable number, because it can be changed into a prime (10131024101351) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 90252730 + ... + 90364911.

It is an arithmetic number, because the mean of its divisors is an integer number (965220678848).

Almost surely, 2^{10131024101331} is an apocalyptic number.

10131024101331 is a deficient number, since it is larger than the sum of its proper divisors (5312506760237).

10131024101331 is a wasteful number, since it uses less digits than its factorization.

10131024101331 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 180620322.

The product of its (nonzero) digits is 216, while the sum is 21.

Adding to 10131024101331 its reverse (13310142013101), we get a palindrome (23441166114432).

The spelling of 10131024101331 in words is "ten trillion, one hundred thirty-one billion, twenty-four million, one hundred one thousand, three hundred thirty-one".