1034131000 has 128 divisors (see below), whose sum is σ = 2781567360. Its totient is φ = 352512000.

The previous prime is 1034130973. The next prime is 1034131003. The reversal of 1034131000 is 1314301.

It is a super-2 number, since 2×1034131000² = 2138853850322000000, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1034131003) 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, 1686694 + ... + 1687306.

It is an arithmetic number, because the mean of its divisors is an integer number (21730995).

Almost surely, 2^1034131000 is an apocalyptic number.

1034131000 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 1034131000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1390783680).

1034131000 is an abundant number, since it is smaller than the sum of its proper divisors (1747436360).

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

1034131000 is a wasteful number, since it uses less digits than its factorization.

1034131000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 882 (or 868 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 13.

The square root of 1034131000 is about 32157.9072702189. The cubic root of 1034131000 is about 1011.2499637117.

Adding to 1034131000 its reverse (1314301), we get a palindrome (1035445301).

The spelling of 1034131000 in words is "one billion, thirty-four million, one hundred thirty-one thousand".