131011020100 has 18 divisors (see below), whose sum is σ = 284293913834. Its totient is φ = 52404408000.

The previous prime is 131011020083. The next prime is 131011020139. The reversal of 131011020100 is 1020110131.

It can be written as a sum of positive squares in 3 ways, for example, as 262245636 + 130748774464 = 16194^2 + 361592^2 .

It is a Harshad number since it is a multiple of its sum of digits (10).

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 655055001 + ... + 655055200.

Almost surely, 2^131011020100 is an apocalyptic number.

131011020100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

131011020100 is an abundant number, since it is smaller than the sum of its proper divisors (153282893734).

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

131011020100 is a wasteful number, since it uses less digits than its factorization.

131011020100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1310110215 (or 1310110208 counting only the distinct ones).

The product of its (nonzero) digits is 6, while the sum is 10.

Adding to 131011020100 its reverse (1020110131), we get a palindrome (132031130231).

The spelling of 131011020100 in words is "one hundred thirty-one billion, eleven million, twenty thousand, one hundred".