13121000 has 32 divisors (see below), whose sum is σ = 30705480. Its totient is φ = 5248000.

The previous prime is 13120999. The next prime is 13121033. The reversal of 13121000 is 12131.

It can be written as a sum of positive squares in 4 ways, for example, as 1737124 + 11383876 = 1318^2 + 3374^2 .

It is a Harshad number since it is a multiple of its sum of digits (8).

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 7 ways as a sum of consecutive naturals, for example, 5561 + ... + 7560.

Almost surely, 2^13121000 is an apocalyptic number.

13121000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

13121000 is an abundant number, since it is smaller than the sum of its proper divisors (17584480).

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

13121000 is a wasteful number, since it uses less digits than its factorization.

13121000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13142 (or 13128 counting only the distinct ones).

The product of its (nonzero) digits is 6, while the sum is 8.

The square root of 13121000 is about 3622.2920920323. The cubic root of 13121000 is about 235.8607336910.

Adding to 13121000 its reverse (12131), we get a palindrome (13133131).

The spelling of 13121000 in words is "thirteen million, one hundred twenty-one thousand".