1031381000 has 64 divisors (see below), whose sum is σ = 2599112880. Its totient is φ = 380812800.

The previous prime is 1031380997. The next prime is 1031381023. The reversal of 1031381000 is 1831301.

It can be written as a sum of positive squares in 8 ways, for example, as 60310756 + 971070244 = 7766^2 + 31162^2 .

It is a super-2 number, since 2×1031381000² = 2127493534322000000, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 1031381000.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 26669 + ... + 52668.

Almost surely, 2^1031381000 is an apocalyptic number.

1031381000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1031381000 is an abundant number, since it is smaller than the sum of its proper divisors (1567731880).

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

1031381000 is a wasteful number, since it uses less digits than its factorization.

1031381000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 79371 (or 79357 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 17.

The square root of 1031381000 is about 32115.1210491258. The cubic root of 1031381000 is about 1010.3527833396.

The spelling of 1031381000 in words is "one billion, thirty-one million, three hundred eighty-one thousand".