1000213032 has 128 divisors (see below), whose sum is σ = 3136008960. Its totient is φ = 258785280.

The previous prime is 1000213001. The next prime is 1000213087. The reversal of 1000213032 is 2303120001.

It is a happy number.

It is a super-2 number, since 2×1000213032² = 2000852218765266048, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a junction number, because it is equal to n+sod(n) for n = 1000212999 and 1000213017.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 111432 + ... + 120072.

It is an arithmetic number, because the mean of its divisors is an integer number (24500070).

Almost surely, 2^1000213032 is an apocalyptic number.

1000213032 is a gapful number since it is divisible by the number (12) 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 1000213032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1568004480).

1000213032 is an abundant number, since it is smaller than the sum of its proper divisors (2135795928).

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

1000213032 is a wasteful number, since it uses less digits than its factorization.

1000213032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8723 (or 8719 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 12.

The square root of 1000213032 is about 31626.1447539848. The cubic root of 1000213032 is about 1000.0710056247.

Adding to 1000213032 its reverse (2303120001), we get a palindrome (3303333033).

The spelling of 1000213032 in words is "one billion, two hundred thirteen thousand, thirty-two".