2003102132031 has 160 divisors (see below), whose sum is σ = 4025385036288. Its totient is φ = 958671624960.

The previous prime is 2003102132029. The next prime is 2003102132033. The reversal of 2003102132031 is 1302312013002.

2003102132031 is a `hidden beast` number, since 2 + 0 + 0 + 310 + 2 + 1 + 320 + 31 = 666.

It is an interprime number because it is at equal distance from previous prime (2003102132029) and next prime (2003102132033).

It is not a de Polignac number, because 2003102132031 - 2¹ = 2003102132029 is a prime.

It is a super-2 number, since 2×2003102132031² (a number of 25 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 2003102131995 and 2003102132013.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2003102132033) by changing a digit.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 42381745 + ... + 42428981.

Almost surely, 2^{2003102132031} is an apocalyptic number.

2003102132031 is a gapful number since it is divisible by the number (21) formed by its first and last digit.

2003102132031 is an abundant number, since it is smaller than the sum of its proper divisors (2022282904257).

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

2003102132031 is a wasteful number, since it uses less digits than its factorization.

2003102132031 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 47803 (or 47794 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

Adding to 2003102132031 its reverse (1302312013002), we get a palindrome (3305414145033).

The spelling of 2003102132031 in words is "two trillion, three billion, one hundred two million, one hundred thirty-two thousand, thirty-one".