10400103132000 has 192 divisors, whose sum is σ = 34901733117888. Its totient is φ = 2705717760000.

The previous prime is 10400103131983. The next prime is 10400103132043. The reversal of 10400103132000 is 23130100401.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 10077211 + ... + 11061210.

It is an arithmetic number, because the mean of its divisors is an integer number (181779859989).

Almost surely, 2^{10400103132000} is an apocalyptic number.

10400103132000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10400103132000 is an abundant number, since it is smaller than the sum of its proper divisors (24501629985888).

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

10400103132000 is a wasteful number, since it uses less digits than its factorization.

10400103132000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21138490 (or 21138472 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 15.

Adding to 10400103132000 its reverse (23130100401), we get a palindrome (10423233232401).

The spelling of 10400103132000 in words is "ten trillion, four hundred billion, one hundred three million, one hundred thirty-two thousand".