1011010331000 has 64 divisors (see below), whose sum is σ = 2367352241280. Its totient is φ = 404132668800.

The previous prime is 1011010330991. The next prime is 1011010331039. The reversal of 1011010331000 is 1330101101.

It is a happy number.

It is a super-2 number, since 2×1011010331000² (a number of 25 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1154417 + ... + 1831583.

It is an arithmetic number, because the mean of its divisors is an integer number (36989878770).

Almost surely, 2^{1011010331000} is an apocalyptic number.

1011010331000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1011010331000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1183676120640).

1011010331000 is an abundant number, since it is smaller than the sum of its proper divisors (1356341910280).

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

1011010331000 is a wasteful number, since it uses less digits than its factorization.

1011010331000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 678681 (or 678667 counting only the distinct ones).

The product of its (nonzero) digits is 9, while the sum is 11.

Adding to 1011010331000 its reverse (1330101101), we get a palindrome (1012340432101).

The spelling of 1011010331000 in words is "one trillion, eleven billion, ten million, three hundred thirty-one thousand".