103313201233000 has 192 divisors, whose sum is σ = 278341541075520. Its totient is φ = 35591149296000.

The previous prime is 103313201232979. The next prime is 103313201233043. The reversal of 103313201233000 is 332102313301.

It is a Harshad number since it is a multiple of its sum of digits (22).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 9037462 + ... + 16979461.

It is an arithmetic number, because the mean of its divisors is an integer number (1449695526435).

Almost surely, 2^{103313201233000} is an apocalyptic number.

103313201233000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

103313201233000 is an abundant number, since it is smaller than the sum of its proper divisors (175028339842520).

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

103313201233000 is a wasteful number, since it uses less digits than its factorization.

103313201233000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 26016993 (or 26016960 counting only the distinct ones).

The product of its (nonzero) digits is 972, while the sum is 22.

Adding to 103313201233000 its reverse (332102313301), we get a palindrome (103645303546301).

The spelling of 103313201233000 in words is "one hundred three trillion, three hundred thirteen billion, two hundred one million, two hundred thirty-three thousand".