13121190 has 80 divisors (see below), whose sum is σ = 35858592. Its totient is φ = 3442176.

The previous prime is 13121159. The next prime is 13121203. The reversal of 13121190 is 9112131.

It is a super-2 number, since 2×13121190² = 344331254032200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 78487 + ... + 78653.

Almost surely, 2^13121190 is an apocalyptic number.

13121190 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 13121190, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17929296).

13121190 is an abundant number, since it is smaller than the sum of its proper divisors (22737402).

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

13121190 is a wasteful number, since it uses less digits than its factorization.

13121190 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 283 (or 274 counting only the distinct ones).

The product of its (nonzero) digits is 54, while the sum is 18.

The square root of 13121190 is about 3622.3183184254. The cubic root of 13121190 is about 235.8618721541.

It can be divided in two parts, 131 and 21190, that added together give a triangular number (21321 = T₂₀₆).

The spelling of 13121190 in words is "thirteen million, one hundred twenty-one thousand, one hundred ninety".