13024442000 has 160 divisors (see below), whose sum is σ = 32402747520. Its totient is φ = 5060697600.

The previous prime is 13024441973. The next prime is 13024442027. The reversal of 13024442000 is 24442031.

It is an interprime number because it is at equal distance from previous prime (13024441973) and next prime (13024442027).

It is a super-2 number, since 2×13024442000² (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (20).

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, 23133719 + ... + 23134281.

It is an arithmetic number, because the mean of its divisors is an integer number (202517172).

Almost surely, 2^13024442000 is an apocalyptic number.

13024442000 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 13024442000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16201373760).

13024442000 is an abundant number, since it is smaller than the sum of its proper divisors (19378305520).

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

13024442000 is a wasteful number, since it uses less digits than its factorization.

13024442000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 898 (or 882 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 20.

Adding to 13024442000 its reverse (24442031), we get a palindrome (13048884031).

The spelling of 13024442000 in words is "thirteen billion, twenty-four million, four hundred forty-two thousand".