1003400133104 has 40 divisors (see below), whose sum is σ = 1951722596640. Its totient is φ = 499730934528.

The previous prime is 1003400133091. The next prime is 1003400133143. The reversal of 1003400133104 is 4013310043001.

It is a super-2 number, since 2×1003400133104² (a number of 25 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 14675702 + ... + 14743914.

It is an arithmetic number, because the mean of its divisors is an integer number (48793064916).

Almost surely, 2^{1003400133104} is an apocalyptic number.

It is an amenable number.

1003400133104 is a deficient number, since it is larger than the sum of its proper divisors (948322463536).

1003400133104 is a wasteful number, since it uses less digits than its factorization.

1003400133104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 71817 (or 71811 counting only the distinct ones).

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

Adding to 1003400133104 its reverse (4013310043001), we get a palindrome (5016710176105).

The spelling of 1003400133104 in words is "one trillion, three billion, four hundred million, one hundred thirty-three thousand, one hundred four".