103144131321440 has 48 divisors (see below), whose sum is σ = 265830556637520. Its totient is φ = 37506956843520.

The previous prime is 103144131321277. The next prime is 103144131321443. The reversal of 103144131321440 is 44123131441301.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a junction number, because it is equal to n+sod(n) for n = 103144131321397 and 103144131321406.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (103144131321443) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 29302308275 + ... + 29302311794.

It is an arithmetic number, because the mean of its divisors is an integer number (5538136596615).

Almost surely, 2^{103144131321440} is an apocalyptic number.

103144131321440 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

103144131321440 is an abundant number, since it is smaller than the sum of its proper divisors (162686425316080).

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

103144131321440 is a wasteful number, since it uses less digits than its factorization.

103144131321440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 58604620095 (or 58604620087 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 32.

Adding to 103144131321440 its reverse (44123131441301), we get a palindrome (147267262762741).

The spelling of 103144131321440 in words is "one hundred three trillion, one hundred forty-four billion, one hundred thirty-one million, three hundred twenty-one thousand, four hundred forty".