1011010131000 has 96 divisors (see below), whose sum is σ = 3417214273200. Its totient is φ = 269602699200.

The previous prime is 1011010130987. The next prime is 1011010131007. The reversal of 1011010131000 is 1310101101.

1011010131000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×1011010131000² (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1011010131007) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 56158230 + ... + 56176229.

Almost surely, 2^{1011010131000} is an apocalyptic number.

1011010131000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1011010131000 is an abundant number, since it is smaller than the sum of its proper divisors (2406204142200).

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

1011010131000 is a wasteful number, since it uses less digits than its factorization.

1011010131000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 112334486 (or 112334469 counting only the distinct ones).

The product of its (nonzero) digits is 3, while the sum is 9.

Adding to 1011010131000 its reverse (1310101101), we get a palindrome (1012320232101).

The spelling of 1011010131000 in words is "one trillion, eleven billion, ten million, one hundred thirty-one thousand".