103131133020 has 144 divisors (see below), whose sum is σ = 317762565120. Its totient is φ = 27070243200.

The previous prime is 103131133019. The next prime is 103131133051. The reversal of 103131133020 is 20331131301.

It is a happy number.

103131133020 is a `hidden beast` number, since 1 + 0 + 3 + 1 + 311 + 330 + 20 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 103131132984 and 103131133002.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 4695865 + ... + 4717775.

It is an arithmetic number, because the mean of its divisors is an integer number (2206684480).

Almost surely, 2^103131133020 is an apocalyptic number.

103131133020 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 103131133020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (158881282560).

103131133020 is an abundant number, since it is smaller than the sum of its proper divisors (214631432100).

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

103131133020 is a wasteful number, since it uses less digits than its factorization.

103131133020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22336 (or 22331 counting only the distinct ones).

The product of its (nonzero) digits is 162, while the sum is 18.

Adding to 103131133020 its reverse (20331131301), we get a palindrome (123462264321).

The spelling of 103131133020 in words is "one hundred three billion, one hundred thirty-one million, one hundred thirty-three thousand, twenty".