1001131303120 has 320 divisors, whose sum is σ = 2587619006784. Its totient is φ = 357964185600.

The previous prime is 1001131303091. The next prime is 1001131303141. The reversal of 1001131303120 is 213031311001.

It can be written as a sum of positive squares in 32 ways, for example, as 437995123344 + 563136179776 = 661812^2 + 750424^2 .

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a junction number, because it is equal to n+sod(n) for n = 1001131303094 and 1001131303103.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1050504564 + ... + 1050505516.

Almost surely, 2^{1001131303120} is an apocalyptic number.

1001131303120 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 1001131303120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1293809503392).

1001131303120 is an abundant number, since it is smaller than the sum of its proper divisors (1586487703664).

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

1001131303120 is a wasteful number, since it uses less digits than its factorization.

1001131303120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1290 (or 1284 counting only the distinct ones).

The product of its (nonzero) digits is 54, while the sum is 16.

Adding to 1001131303120 its reverse (213031311001), we get a palindrome (1214162614121).

The spelling of 1001131303120 in words is "one trillion, one billion, one hundred thirty-one million, three hundred three thousand, one hundred twenty".