10132334330144 has 48 divisors (see below), whose sum is σ = 21672608001912. Its totient is φ = 4635077357568.

The previous prime is 10132334330141. The next prime is 10132334330147. The reversal of 10132334330144 is 44103343323101.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (10132334330141) and next prime (10132334330147).

It can be written as a sum of positive squares in 4 ways, for example, as 5544084649744 + 4588249680400 = 2354588^2 + 2142020^2 .

It is a super-3 number, since 3×10132334330144³ (a number of 40 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

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

It is a self number, because there is not a number n which added to its sum of digits gives 10132334330144.

It is not an unprimeable number, because it can be changed into a prime (10132334330141) 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, 107725439 + ... + 107819454.

Almost surely, 2^{10132334330144} is an apocalyptic number.

It is an amenable number.

10132334330144 is an abundant number, since it is smaller than the sum of its proper divisors (11540273671768).

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

10132334330144 is a wasteful number, since it uses less digits than its factorization.

10132334330144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 215545029 (or 215545021 counting only the distinct ones).

The product of its (nonzero) digits is 31104, while the sum is 32.

Adding to 10132334330144 its reverse (44103343323101), we get a palindrome (54235677653245).

The spelling of 10132334330144 in words is "ten trillion, one hundred thirty-two billion, three hundred thirty-four million, three hundred thirty thousand, one hundred forty-four".