1003131141100 has 72 divisors (see below), whose sum is σ = 2388905100288. Its totient is φ = 362590612800.

The previous prime is 1003131141071. The next prime is 1003131141101. The reversal of 1003131141100 is 11411313001.

It is not an unprimeable number, because it can be changed into a prime (1003131141101) 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, 2546652 + ... + 2914051.

It is an arithmetic number, because the mean of its divisors is an integer number (33179237504).

Almost surely, 2^{1003131141100} is an apocalyptic number.

1003131141100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1003131141100 is an abundant number, since it is smaller than the sum of its proper divisors (1385773959188).

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

1003131141100 is a wasteful number, since it uses less digits than its factorization.

1003131141100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5460895 (or 5460888 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 16.

Adding to 1003131141100 its reverse (11411313001), we get a palindrome (1014542454101).

The spelling of 1003131141100 in words is "one trillion, three billion, one hundred thirty-one million, one hundred forty-one thousand, one hundred".