20131213021101 has 64 divisors (see below), whose sum is σ = 36708675494400. Its totient is φ = 10618028218368.

The previous prime is 20131213021093. The next prime is 20131213021109. The reversal of 20131213021101 is 10112031213102.

20131213021101 is a `hidden beast` number, since 201 + 31 + 21 + 302 + 110 + 1 = 666.

It is an interprime number because it is at equal distance from previous prime (20131213021093) and next prime (20131213021109).

It is not a de Polignac number, because 20131213021101 - 2³ = 20131213021093 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20131213021109) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 42459535 + ... + 42931043.

It is an arithmetic number, because the mean of its divisors is an integer number (573573054600).

Almost surely, 2^{20131213021101} is an apocalyptic number.

20131213021101 is a gapful number since it is divisible by the number (21) formed by its first and last digit.

It is an amenable number.

20131213021101 is a deficient number, since it is larger than the sum of its proper divisors (16577462473299).

20131213021101 is a wasteful number, since it uses less digits than its factorization.

20131213021101 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 488915 (or 488909 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 18.

Adding to 20131213021101 its reverse (10112031213102), we get a palindrome (30243244234203).

The spelling of 20131213021101 in words is "twenty trillion, one hundred thirty-one billion, two hundred thirteen million, twenty-one thousand, one hundred one".