101331303101010 has 48 divisors (see below), whose sum is σ = 263461885157016. Its totient is φ = 27021629842944.

The previous prime is 101331303100969. The next prime is 101331303101027. The reversal of 101331303101010 is 10101303133101.

101331303101010 is a `hidden beast` number, since 1 + 0 + 1 + 331 + 3 + 0 + 310 + 10 + 10 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 98330962942809 + 3000340158201 = 9916197^2 + 1732149^2 .

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 90728092 + ... + 91838168.

Almost surely, 2^{101331303101010} is an apocalyptic number.

101331303101010 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

101331303101010 is an abundant number, since it is smaller than the sum of its proper divisors (162130582056006).

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

101331303101010 is a wasteful number, since it uses less digits than its factorization.

101331303101010 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2124347 (or 2124344 counting only the distinct ones).

The product of its (nonzero) digits is 81, while the sum is 18.

Adding to 101331303101010 its reverse (10101303133101), we get a palindrome (111432606234111).

The spelling of 101331303101010 in words is "one hundred one trillion, three hundred thirty-one billion, three hundred three million, one hundred one thousand, ten".