102003134431000 has 192 divisors, whose sum is σ = 268460187035040. Its totient is φ = 36229441248000.

The previous prime is 102003134430997. The next prime is 102003134431001. The reversal of 102003134431000 is 134431300201.

It is a super-2 number, since 2×102003134431000² (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (22).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (102003134431001) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 4599339 + ... + 15005338.

Almost surely, 2^{102003134431000} is an apocalyptic number.

102003134431000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

102003134431000 is an abundant number, since it is smaller than the sum of its proper divisors (166457052604040).

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

102003134431000 is a wasteful number, since it uses less digits than its factorization.

102003134431000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19604763 (or 19604738 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 22.

Adding to 102003134431000 its reverse (134431300201), we get a palindrome (102137565731201).

The spelling of 102003134431000 in words is "one hundred two trillion, three billion, one hundred thirty-four million, four hundred thirty-one thousand".