1131100001031 has 128 divisors (see below), whose sum is σ = 2039998464000. Its totient is φ = 538356326400.

The previous prime is 1131100001021. The next prime is 1131100001051. The reversal of 1131100001031 is 1301000011311.

It is not a de Polignac number, because 1131100001031 - 2⁶ = 1131100000967 is a prime.

It is a super-2 number, since 2×1131100001031² (a number of 25 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 1131100000998 and 1131100001016.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1131100001021) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 289207966 + ... + 289211876.

It is an arithmetic number, because the mean of its divisors is an integer number (15937488000).

Almost surely, 2^{1131100001031} is an apocalyptic number.

1131100001031 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

1131100001031 is a deficient number, since it is larger than the sum of its proper divisors (908898462969).

1131100001031 is a wasteful number, since it uses less digits than its factorization.

1131100001031 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4637.

The product of its (nonzero) digits is 9, while the sum is 12.

Adding to 1131100001031 its reverse (1301000011311), we get a palindrome (2432100012342).

The spelling of 1131100001031 in words is "one trillion, one hundred thirty-one billion, one hundred million, one thousand, thirty-one".