103302220131000 has 384 divisors, whose sum is σ = 395011004693760. Its totient is φ = 25042961808000.

The previous prime is 103302220130951. The next prime is 103302220131083. The reversal of 103302220131000 is 131022203301.

103302220131000 is a `hidden beast` number, since 1 + 0 + 330 + 2 + 2 + 20 + 1 + 310 + 0 + 0 = 666.

It is a super-2 number, since 2×103302220131000² (a number of 29 digits) contains 22 as substring.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 16650274 + ... + 21996273.

It is an arithmetic number, because the mean of its divisors is an integer number (1028674491390).

Almost surely, 2^{103302220131000} is an apocalyptic number.

103302220131000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

103302220131000 is an abundant number, since it is smaller than the sum of its proper divisors (291708784562760).

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

103302220131000 is a wasteful number, since it uses less digits than its factorization.

103302220131000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 38646594 (or 38646568 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

Adding to 103302220131000 its reverse (131022203301), we get a palindrome (103433242334301).

The spelling of 103302220131000 in words is "one hundred three trillion, three hundred two billion, two hundred twenty million, one hundred thirty-one thousand".