2011131010031 has 32 divisors (see below), whose sum is σ = 2532088677888. Its totient is φ = 1570656320640.

The previous prime is 2011131009997. The next prime is 2011131010043. The reversal of 2011131010031 is 1300101311102.

It is a happy number.

It is not a de Polignac number, because 2011131010031 - 2¹⁰ = 2011131009007 is a prime.

It is a super-2 number, since 2×2011131010031² (a number of 25 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 2011131009988 and 2011131010015.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2011131010631) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 8141441 + ... + 8384826.

It is an arithmetic number, because the mean of its divisors is an integer number (79127771184).

Almost surely, 2^{2011131010031} is an apocalyptic number.

2011131010031 is a deficient number, since it is larger than the sum of its proper divisors (520957667857).

2011131010031 is a wasteful number, since it uses less digits than its factorization.

2011131010031 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16526351.

The product of its (nonzero) digits is 18, while the sum is 14.

Adding to 2011131010031 its reverse (1300101311102), we get a palindrome (3311232321133).

The spelling of 2011131010031 in words is "two trillion, eleven billion, one hundred thirty-one million, ten thousand, thirty-one".