1003121310000 has 400 divisors, whose sum is σ = 3495588053760. Its totient is φ = 247040640000.

The previous prime is 1003121309989. The next prime is 1003121310007. The reversal of 1003121310000 is 131213001.

It is a tau number, because it is divible by the number of its divisors (400).

It is a super-2 number, since 2×1003121310000² (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is not an unprimeable number, because it can be changed into a prime (1003121310007) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 19984935 + ... + 20035065.

Almost surely, 2^{1003121310000} is an apocalyptic number.

1003121310000 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 1003121310000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1747794026880).

1003121310000 is an abundant number, since it is smaller than the sum of its proper divisors (2492466743760).

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

1003121310000 is a wasteful number, since it uses less digits than its factorization.

1003121310000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 50214 (or 50193 counting only the distinct ones).

The product of its (nonzero) digits is 18, while the sum is 12.

Adding to 1003121310000 its reverse (131213001), we get a palindrome (1003252523001).

The spelling of 1003121310000 in words is "one trillion, three billion, one hundred twenty-one million, three hundred ten thousand".