10130333031 has 144 divisors (see below), whose sum is σ = 19404874944. Its totient is φ = 4968677376.

The previous prime is 10130333009. The next prime is 10130333039. The reversal of 10130333031 is 13033303101.

10130333031 is a `hidden beast` number, since 1 + 0 + 1 + 303 + 330 + 31 = 666.

It is not a de Polignac number, because 10130333031 - 2⁷ = 10130332903 is a prime.

It is a super-2 number, since 2×10130333031² (a number of 21 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 10130332995 and 10130333013.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10130333039) 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 143 ways as a sum of consecutive naturals, for example, 17556615 + ... + 17557191.

It is an arithmetic number, because the mean of its divisors is an integer number (134756076).

Almost surely, 2^10130333031 is an apocalyptic number.

10130333031 is a deficient number, since it is larger than the sum of its proper divisors (9274541913).

10130333031 is a wasteful number, since it uses less digits than its factorization.

10130333031 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 730 (or 714 counting only the distinct ones).

The product of its (nonzero) digits is 243, while the sum is 18.

Adding to 10130333031 its reverse (13033303101), we get a palindrome (23163636132).

It can be divided in two parts, 1013033 and 3031, that added together give a square (1016064 = 1008²).

The spelling of 10130333031 in words is "ten billion, one hundred thirty million, three hundred thirty-three thousand, thirty-one".