131011030001000 has 32 divisors (see below), whose sum is σ = 306565810204680. Its totient is φ = 52404412000000.

The previous prime is 131011030000997. The next prime is 131011030001021. The reversal of 131011030001000 is 100030110131.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 34849824583876 + 96161205417124 = 5903374^2 + 9806182^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 65505514001 + ... + 65505516000.

Almost surely, 2^{131011030001000} is an apocalyptic number.

131011030001000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

131011030001000 is an abundant number, since it is smaller than the sum of its proper divisors (175554780203680).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

131011030001000 is a wasteful number, since it uses less digits than its factorization.

131011030001000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 131011030022 (or 131011030008 counting only the distinct ones).

The product of its (nonzero) digits is 9, while the sum is 11.

Adding to 131011030001000 its reverse (100030110131), we get a palindrome (131111060111131).

The spelling of 131011030001000 in words is "one hundred thirty-one trillion, eleven billion, thirty million, one thousand".