13020400133444 has 24 divisors (see below), whose sum is σ = 25937872204608. Its totient is φ = 5661043535840.

The previous prime is 13020400133437. The next prime is 13020400133459. The reversal of 13020400133444 is 44433100402031.

It is a happy number.

It is a super-4 number, since 4×13020400133444⁴ (a number of 54 digits) contains 4444 as substring. Note that it is a super-d number also for d = 2.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 6433003007 + ... + 6433005030.

It is an arithmetic number, because the mean of its divisors is an integer number (1080744675192).

Almost surely, 2^{13020400133444} is an apocalyptic number.

It is an amenable number.

13020400133444 is a deficient number, since it is larger than the sum of its proper divisors (12917472071164).

13020400133444 is a wasteful number, since it uses less digits than its factorization.

13020400133444 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12866008075 (or 12866008073 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 29.

Adding to 13020400133444 its reverse (44433100402031), we get a palindrome (57453500535475).

The spelling of 13020400133444 in words is "thirteen trillion, twenty billion, four hundred million, one hundred thirty-three thousand, four hundred forty-four".