103131001233000 has 384 divisors, whose sum is σ = 376892556768000. Its totient is φ = 25284945600000.

The previous prime is 103131001232999. The next prime is 103131001233079. The reversal of 103131001233000 is 332100131301.

It is a happy number.

103131001233000 is a `hidden beast` number, since 1 + 0 + 31 + 310 + 0 + 1 + 23 + 300 + 0 = 666.

103131001233000 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

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

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, 27611101 + ... + 31122899.

It is an arithmetic number, because the mean of its divisors is an integer number (981491033250).

Almost surely, 2^{103131001233000} is an apocalyptic number.

103131001233000 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 103131001233000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (188446278384000).

103131001233000 is an abundant number, since it is smaller than the sum of its proper divisors (273761555535000).

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

103131001233000 is a wasteful number, since it uses less digits than its factorization.

103131001233000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3512090 (or 3512073 counting only the distinct ones).

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

Adding to 103131001233000 its reverse (332100131301), we get a palindrome (103463101364301).

The spelling of 103131001233000 in words is "one hundred three trillion, one hundred thirty-one billion, one million, two hundred thirty-three thousand".