2103133012400 has 480 divisors, whose sum is σ = 6025423872000. Its totient is φ = 690309734400.

The previous prime is 2103133012399. The next prime is 2103133012471. The reversal of 2103133012400 is 42103313012.

It is a Harshad number since it is a multiple of its sum of digits (20).

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, 5406511406 + ... + 5406511794.

It is an arithmetic number, because the mean of its divisors is an integer number (12552966400).

Almost surely, 2^{2103133012400} is an apocalyptic number.

2103133012400 is a gapful number since it is divisible by the number (20) 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 2103133012400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3012711936000).

2103133012400 is an abundant number, since it is smaller than the sum of its proper divisors (3922290859600).

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

2103133012400 is a wasteful number, since it uses less digits than its factorization.

2103133012400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 957 (or 946 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 20.

Adding to 2103133012400 its reverse (42103313012), we get a palindrome (2145236325412).

The spelling of 2103133012400 in words is "two trillion, one hundred three billion, one hundred thirty-three million, twelve thousand, four hundred".