101003120031 has 8 divisors (see below), whose sum is σ = 146913629184. Its totient is φ = 61214012120.

The previous prime is 101003120027. The next prime is 101003120039. The reversal of 101003120031 is 130021300101.

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

It is a cyclic number.

It is not a de Polignac number, because 101003120031 - 2² = 101003120027 is a prime.

It is a super-2 number, since 2×101003120031² (a number of 23 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 101003119989 and 101003120016.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101003120039) 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, 1530350271 + ... + 1530350336.

It is an arithmetic number, because the mean of its divisors is an integer number (18364203648).

Almost surely, 2^101003120031 is an apocalyptic number.

101003120031 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

101003120031 is a deficient number, since it is larger than the sum of its proper divisors (45910509153).

101003120031 is a wasteful number, since it uses less digits than its factorization.

101003120031 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3060700621.

The product of its (nonzero) digits is 18, while the sum is 12.

Adding to 101003120031 its reverse (130021300101), we get a palindrome (231024420132).

The spelling of 101003120031 in words is "one hundred one billion, three million, one hundred twenty thousand, thirty-one".