20142042131001 has 32 divisors (see below), whose sum is σ = 32355760296960. Its totient is φ = 10887856214976.

The previous prime is 20142042130997. The next prime is 20142042131009. The reversal of 20142042131001 is 10013124024102.

It is not a de Polignac number, because 20142042131001 - 2² = 20142042130997 is a prime.

It is a super-2 number, since 2×20142042131001² (a number of 27 digits) contains 22 as substring.

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 (20142042131009) 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, 37012971 + ... + 37553216.

It is an arithmetic number, because the mean of its divisors is an integer number (1011117509280).

Almost surely, 2^{20142042131001} is an apocalyptic number.

20142042131001 is a gapful number since it is divisible by the number (21) formed by its first and last digit.

It is an amenable number.

20142042131001 is a deficient number, since it is larger than the sum of its proper divisors (12213718165959).

20142042131001 is a wasteful number, since it uses less digits than its factorization.

20142042131001 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 74566893.

The product of its (nonzero) digits is 384, while the sum is 21.

Adding to 20142042131001 its reverse (10013124024102), we get a palindrome (30155166155103).

The spelling of 20142042131001 in words is "twenty trillion, one hundred forty-two billion, forty-two million, one hundred thirty-one thousand, one".