101030414031 has 48 divisors (see below), whose sum is σ = 155367605952. Its totient is φ = 63121344000.

The previous prime is 101030413987. The next prime is 101030414053. The reversal of 101030414031 is 130414030101.

It is a de Polignac number, because none of the positive numbers 2^k-101030414031 is a prime.

It is a super-2 number, since 2×101030414031² (a number of 23 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 101030413995 and 101030414013.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101030414131) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 8342881 + ... + 8354981.

It is an arithmetic number, because the mean of its divisors is an integer number (3236825124).

Almost surely, 2^101030414031 is an apocalyptic number.

101030414031 is a deficient number, since it is larger than the sum of its proper divisors (54337191921).

101030414031 is a wasteful number, since it uses less digits than its factorization.

101030414031 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12944 (or 12941 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

Adding to 101030414031 its reverse (130414030101), we get a palindrome (231444444132).

The spelling of 101030414031 in words is "one hundred one billion, thirty million, four hundred fourteen thousand, thirty-one".