101023321311 has 16 divisors (see below), whose sum is σ = 163270014720. Its totient is φ = 61226255160.

The previous prime is 101023321303. The next prime is 101023321313. The reversal of 101023321311 is 113123320101.

101023321311 is a `hidden beast` number, since 1 + 0 + 10 + 23 + 321 + 311 = 666.

It is not a de Polignac number, because 101023321311 - 2³ = 101023321303 is a prime.

It is a super-2 number, since 2×101023321311² (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101023321313) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 170072635 + ... + 170073228.

It is an arithmetic number, because the mean of its divisors is an integer number (10204375920).

Almost surely, 2^101023321311 is an apocalyptic number.

101023321311 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

101023321311 is a deficient number, since it is larger than the sum of its proper divisors (62246693409).

101023321311 is a wasteful number, since it uses less digits than its factorization.

101023321311 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 340145883 (or 340145877 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 18.

Adding to 101023321311 its reverse (113123320101), we get a palindrome (214146641412).

The spelling of 101023321311 in words is "one hundred one billion, twenty-three million, three hundred twenty-one thousand, three hundred eleven".