101001320031 has 32 divisors (see below), whose sum is σ = 146906208000. Its totient is φ = 61480677888.

The previous prime is 101001320029. The next prime is 101001320047. The reversal of 101001320031 is 130023100101.

It is not a de Polignac number, because 101001320031 - 2¹ = 101001320029 is a prime.

It is a super-2 number, since 2×101001320031² (a number of 23 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 101001319989 and 101001320016.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101001320531) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 876375 + ... + 984903.

It is an arithmetic number, because the mean of its divisors is an integer number (4590819000).

Almost surely, 2^101001320031 is an apocalyptic number.

101001320031 is a deficient number, since it is larger than the sum of its proper divisors (45904887969).

101001320031 is a wasteful number, since it uses less digits than its factorization.

101001320031 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 109143.

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

Adding to 101001320031 its reverse (130023100101), we get a palindrome (231024420132).

The spelling of 101001320031 in words is "one hundred one billion, one million, three hundred twenty thousand, thirty-one".