2003131303131 has 16 divisors (see below), whose sum is σ = 3055952300544. Its totient is φ = 1143310805184.

The previous prime is 2003131303111. The next prime is 2003131303171. The reversal of 2003131303131 is 1313031313002.

It is not a de Polignac number, because 2003131303131 - 2⁶ = 2003131303067 is a prime.

It is a super-2 number, since 2×2003131303131² (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a junction number, because it is equal to n+sod(n) for n = 2003131303098 and 2003131303107.

It is not an unprimeable number, because it can be changed into a prime (2003131303111) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 55633815 + ... + 55669808.

It is an arithmetic number, because the mean of its divisors is an integer number (190997018784).

Almost surely, 2^{2003131303131} is an apocalyptic number.

2003131303131 is a gapful number since it is divisible by the number (21) formed by its first and last digit.

2003131303131 is a deficient number, since it is larger than the sum of its proper divisors (1052820997413).

2003131303131 is a wasteful number, since it uses less digits than its factorization.

2003131303131 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 111304490.

The product of its (nonzero) digits is 486, while the sum is 21.

Adding to 2003131303131 its reverse (1313031313002), we get a palindrome (3316162616133).

The spelling of 2003131303131 in words is "two trillion, three billion, one hundred thirty-one million, three hundred three thousand, one hundred thirty-one".