100103132301003 has 24 divisors (see below), whose sum is σ = 155859236752128. Its totient is φ = 61545255985152.

The previous prime is 100103132300999. The next prime is 100103132301049. The reversal of 100103132301003 is 300103231301001.

It is a happy number.

100103132301003 is a `hidden beast` number, since 10 + 0 + 10 + 313 + 230 + 100 + 3 = 666.

It is not a de Polignac number, because 100103132301003 - 2² = 100103132300999 is a prime.

It is a super-2 number, since 2×100103132301003² (a number of 29 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (100103132401003) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 393424950 + ... + 393679307.

It is an arithmetic number, because the mean of its divisors is an integer number (6494134864672).

Almost surely, 2^{100103132301003} is an apocalyptic number.

100103132301003 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

100103132301003 is a deficient number, since it is larger than the sum of its proper divisors (55756104451125).

100103132301003 is a wasteful number, since it uses less digits than its factorization.

100103132301003 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 787105363 (or 787105360 counting only the distinct ones).

The product of its (nonzero) digits is 162, while the sum is 18.

Adding to 100103132301003 its reverse (300103231301001), we get a palindrome (400206363602004).

The spelling of 100103132301003 in words is "one hundred trillion, one hundred three billion, one hundred thirty-two million, three hundred one thousand, three".