131001033002021 has 24 divisors (see below), whose sum is σ = 164112385371480. Its totient is φ = 103648410335232.

The previous prime is 131001033001991. The next prime is 131001033002033. The reversal of 131001033002021 is 120200330100131.

It can be written as a sum of positive squares in 4 ways, for example, as 38784384299521 + 92216648702500 = 6227711^2 + 9602950^2 .

It is not a de Polignac number, because 131001033002021 - 2¹⁰ = 131001033000997 is a prime.

It is a super-2 number, since 2×131001033002021² (a number of 29 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (131001033002071) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 96127625 + ... + 97480881.

It is an arithmetic number, because the mean of its divisors is an integer number (6838016057145).

Almost surely, 2^{131001033002021} is an apocalyptic number.

It is an amenable number.

131001033002021 is a deficient number, since it is larger than the sum of its proper divisors (33111352369459).

131001033002021 is a wasteful number, since it uses less digits than its factorization.

131001033002021 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1505253 (or 1505246 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 17.

Adding to 131001033002021 its reverse (120200330100131), we get a palindrome (251201363102152).

The spelling of 131001033002021 in words is "one hundred thirty-one trillion, one billion, thirty-three million, two thousand, twenty-one".