1003131121000 has 128 divisors (see below), whose sum is σ = 2486905817760. Its totient is φ = 377421312000.

The previous prime is 1003131120947. The next prime is 1003131121001. The reversal of 1003131121000 is 1211313001.

1003131121000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 16 ways, for example, as 91224537156 + 911906583844 = 302034^2 + 954938^2 .

It is not an unprimeable number, because it can be changed into a prime (1003131121001) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 29580054 + ... + 29613946.

Almost surely, 2^{1003131121000} is an apocalyptic number.

1003131121000 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 1003131121000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1243452908880).

1003131121000 is an abundant number, since it is smaller than the sum of its proper divisors (1483774696760).

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

1003131121000 is a wasteful number, since it uses less digits than its factorization.

1003131121000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 35672 (or 35658 counting only the distinct ones).

The product of its (nonzero) digits is 18, while the sum is 13.

Adding to 1003131121000 its reverse (1211313001), we get a palindrome (1004342434001).

The spelling of 1003131121000 in words is "one trillion, three billion, one hundred thirty-one million, one hundred twenty-one thousand".