10133012032031 has 24 divisors (see below), whose sum is σ = 11937901029120. Its totient is φ = 8574553823472.

The previous prime is 10133012032009. The next prime is 10133012032061. The reversal of 10133012032031 is 13023021033101.

10133012032031 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 10133012032031 - 2¹⁴ = 10133012015647 is a prime.

It is a super-2 number, since 2×10133012032031² (a number of 27 digits) contains 22 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 10133012031994 and 10133012032012.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10133012032061) 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, 36259820 + ... + 36538206.

It is an arithmetic number, because the mean of its divisors is an integer number (497412542880).

Almost surely, 2^{10133012032031} is an apocalyptic number.

10133012032031 is a deficient number, since it is larger than the sum of its proper divisors (1804888997089).

10133012032031 is an equidigital number, since it uses as much as digits as its factorization.

10133012032031 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 287883 (or 287876 counting only the distinct ones).

The product of its (nonzero) digits is 324, while the sum is 20.

Adding to 10133012032031 its reverse (13023021033101), we get a palindrome (23156033065132).

The spelling of 10133012032031 in words is "ten trillion, one hundred thirty-three billion, twelve million, thirty-two thousand, thirty-one".