1003130022000 has 80 divisors (see below), whose sum is σ = 3234091210272. Its totient is φ = 267501337600.

The previous prime is 1003130021983. The next prime is 1003130022067. The reversal of 1003130022000 is 2200313001.

It is a happy number.

1003130022000 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (80).

It is a super-3 number, since 3×1003130022000³ (a number of 37 digits) contains 333 as substring.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 83588169 + ... + 83600168.

Almost surely, 2^{1003130022000} is an apocalyptic number.

1003130022000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1003130022000 is an abundant number, since it is smaller than the sum of its proper divisors (2230961188272).

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

1003130022000 is a wasteful number, since it uses less digits than its factorization.

1003130022000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 167188363 (or 167188347 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 12.

Adding to 1003130022000 its reverse (2200313001), we get a palindrome (1005330335001).

The spelling of 1003130022000 in words is "one trillion, three billion, one hundred thirty million, twenty-two thousand".