1213135000 has 320 divisors, whose sum is σ = 3724807680. Its totient is φ = 359040000.

The previous prime is 1213134991. The next prime is 1213135003. The reversal of 1213135000 is 5313121.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1213135003) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 8854932 + ... + 8855068.

It is an arithmetic number, because the mean of its divisors is an integer number (11640024).

Almost surely, 2^1213135000 is an apocalyptic number.

1213135000 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 1213135000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1862403840).

1213135000 is an abundant number, since it is smaller than the sum of its proper divisors (2511672680).

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

1213135000 is a wasteful number, since it uses less digits than its factorization.

1213135000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 204 (or 185 counting only the distinct ones).

The product of its (nonzero) digits is 90, while the sum is 16.

The square root of 1213135000 is about 34830.0875680783. The cubic root of 1213135000 is about 1066.5217359511.

Adding to 1213135000 its reverse (5313121), we get a palindrome (1218448121).

The spelling of 1213135000 in words is "one billion, two hundred thirteen million, one hundred thirty-five thousand".