20131133003121 has 64 divisors (see below), whose sum is σ = 31197020037120. Its totient is φ = 11309093268480.

The previous prime is 20131133003101. The next prime is 20131133003123. The reversal of 20131133003121 is 12130033113102.

It is a happy number.

It is not a de Polignac number, because 20131133003121 - 2⁹ = 20131133002609 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (20131133003123) 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, 909706185 + ... + 909728313.

It is an arithmetic number, because the mean of its divisors is an integer number (487453438080).

Almost surely, 2^{20131133003121} is an apocalyptic number.

20131133003121 is a gapful number since it is divisible by the number (21) formed by its first and last digit.

It is an amenable number.

20131133003121 is a deficient number, since it is larger than the sum of its proper divisors (11065887033999).

20131133003121 is a wasteful number, since it uses less digits than its factorization.

20131133003121 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 23926.

The product of its (nonzero) digits is 324, while the sum is 21.

Adding to 20131133003121 its reverse (12130033113102), we get a palindrome (32261166116223).

The spelling of 20131133003121 in words is "twenty trillion, one hundred thirty-one billion, one hundred thirty-three million, three thousand, one hundred twenty-one".