13121020 has 96 divisors (see below), whose sum is σ = 32820480. Its totient is φ = 4354560.

The previous prime is 13120999. The next prime is 13121033. The reversal of 13121020 is 2012131.

It is a super-2 number, since 2×13121020² = 344322331680800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (10).

It is a junction number, because it is equal to n+sod(n) for n = 13120988 and 13121006.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 179704 + ... + 179776.

It is an arithmetic number, because the mean of its divisors is an integer number (341880).

Almost surely, 2^13121020 is an apocalyptic number.

13121020 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 13121020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16410240).

13121020 is an abundant number, since it is smaller than the sum of its proper divisors (19699460).

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

13121020 is a wasteful number, since it uses less digits than its factorization.

13121020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 155 (or 153 counting only the distinct ones).

The product of its (nonzero) digits is 12, while the sum is 10.

The square root of 13121020 is about 3622.2948527142. The cubic root of 13121020 is about 235.8608535298.

Adding to 13121020 its reverse (2012131), we get a palindrome (15133151).

Subtracting from 13121020 its reverse (2012131), we obtain a square (11108889 = 3333²).

It can be divided in two parts, 1312 and 1020, that added together give a palindrome (2332).

The spelling of 13121020 in words is "thirteen million, one hundred twenty-one thousand, twenty".