1003001130100 has 18 divisors (see below), whose sum is σ = 2176512452534. Its totient is φ = 401200452000.

The previous prime is 1003001130049. The next prime is 1003001130113. The reversal of 1003001130100 is 10311003001.

1003001130100 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 3 ways, for example, as 5503562596 + 997497567504 = 74186^2 + 998748^2 .

It is a super-2 number, since 2×1003001130100² (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (10).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 5015005551 + ... + 5015005750.

Almost surely, 2^{1003001130100} is an apocalyptic number.

1003001130100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1003001130100 is an abundant number, since it is smaller than the sum of its proper divisors (1173511322434).

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

1003001130100 is a wasteful number, since it uses less digits than its factorization.

1003001130100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10030011315 (or 10030011308 counting only the distinct ones).

The product of its (nonzero) digits is 9, while the sum is 10.

Adding to 1003001130100 its reverse (10311003001), we get a palindrome (1013312133101).

The spelling of 1003001130100 in words is "one trillion, three billion, one million, one hundred thirty thousand, one hundred".