10102133113031 has 8 divisors (see below), whose sum is σ = 10203415673184. Its totient is φ = 10000875287200.

The previous prime is 10102133113013. The next prime is 10102133113091. The reversal of 10102133113031 is 13031133120101.

It is a sphenic number, since it is the product of 3 distinct primes.

It is not a de Polignac number, because 10102133113031 - 2²² = 10102128918727 is a prime.

It is a super-2 number, since 2×10102133113031² (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 = 10102133112994 and 10102133113012.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10102133113091) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 5362091 + ... + 6996876.

It is an arithmetic number, because the mean of its divisors is an integer number (1275426959148).

Almost surely, 2^{10102133113031} is an apocalyptic number.

10102133113031 is a deficient number, since it is larger than the sum of its proper divisors (101282560153).

10102133113031 is a wasteful number, since it uses less digits than its factorization.

10102133113031 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12367161.

The product of its (nonzero) digits is 162, while the sum is 20.

Adding to 10102133113031 its reverse (13031133120101), we get a palindrome (23133266233132).

The spelling of 10102133113031 in words is "ten trillion, one hundred two billion, one hundred thirty-three million, one hundred thirteen thousand, thirty-one".