10103313132000 has 1728 divisors, whose sum is σ = 42305133911040. Its totient is φ = 2260296192000.

The previous prime is 10103313131959. The next prime is 10103313132049. The reversal of 10103313132000 is 23131330101.

It is a happy number.

10103313132000 is a `hidden beast` number, since 1 + 0 + 1 + 0 + 331 + 313 + 20 + 0 + 0 = 666.

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 287 ways as a sum of consecutive naturals, for example, 7659827341 + ... + 7659828659.

It is an arithmetic number, because the mean of its divisors is an integer number (24482137680).

Almost surely, 2^{10103313132000} is an apocalyptic number.

10103313132000 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 10103313132000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21152566955520).

10103313132000 is an abundant number, since it is smaller than the sum of its proper divisors (32201820779040).

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

10103313132000 is a wasteful number, since it uses less digits than its factorization.

10103313132000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1442 (or 1392 counting only the distinct ones).

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

Adding to 10103313132000 its reverse (23131330101), we get a palindrome (10126444462101).

The spelling of 10103313132000 in words is "ten trillion, one hundred three billion, three hundred thirteen million, one hundred thirty-two thousand".