2001330233031 has 64 divisors (see below), whose sum is σ = 2787044474880. Its totient is φ = 1276694939520.

The previous prime is 2001330233027. The next prime is 2001330233047. The reversal of 2001330233031 is 1303320331002.

It is not a de Polignac number, because 2001330233031 - 2² = 2001330233027 is a prime.

It is a super-2 number, since 2×2001330233031² (a number of 25 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 2001330232989 and 2001330233007.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2001330233531) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 627965220 + ... + 627968406.

It is an arithmetic number, because the mean of its divisors is an integer number (43547569920).

Almost surely, 2^{2001330233031} is an apocalyptic number.

2001330233031 is a deficient number, since it is larger than the sum of its proper divisors (785714241849).

2001330233031 is a wasteful number, since it uses less digits than its factorization.

2001330233031 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3964.

The product of its (nonzero) digits is 972, while the sum is 21.

Adding to 2001330233031 its reverse (1303320331002), we get a palindrome (3304650564033).

The spelling of 2001330233031 in words is "two trillion, one billion, three hundred thirty million, two hundred thirty-three thousand, thirty-one".