10133132031 has 24 divisors (see below), whose sum is σ = 16033651920. Its totient is φ = 6115795200.

The previous prime is 10133132029. The next prime is 10133132039. The reversal of 10133132031 is 13023133101.

It is a happy number.

10133132031 is a `hidden beast` number, since 10 + 1 + 331 + 320 + 3 + 1 = 666.

It is not a de Polignac number, because 10133132031 - 2¹ = 10133132029 is a prime.

It is a super-2 number, since 2×10133132031² (a number of 21 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 10133131995 and 10133132013.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10133132039) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 188496 + ... + 236213.

It is an arithmetic number, because the mean of its divisors is an integer number (668068830).

Almost surely, 2^10133132031 is an apocalyptic number.

10133132031 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

10133132031 is a deficient number, since it is larger than the sum of its proper divisors (5900519889).

10133132031 is a wasteful number, since it uses less digits than its factorization.

10133132031 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 424967 (or 424964 counting only the distinct ones).

The product of its (nonzero) digits is 162, while the sum is 18.

Adding to 10133132031 its reverse (13023133101), we get a palindrome (23156265132).

The spelling of 10133132031 in words is "ten billion, one hundred thirty-three million, one hundred thirty-two thousand, thirty-one".