11003001131745 has 120 divisors (see below), whose sum is σ = 23052875332608. Its totient is φ = 5006102875200.

The previous prime is 11003001131743. The next prime is 11003001131753. The reversal of 11003001131745 is 54713110030011.

11003001131745 is a `hidden beast` number, since 1 + 1 + 0 + 0 + 300 + 1 + 1 + 317 + 45 = 666.

It is not a de Polignac number, because 11003001131745 - 2¹ = 11003001131743 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (11003001131743) by changing a digit.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 2873440 + ... + 5501150.

Almost surely, 2^{11003001131745} is an apocalyptic number.

11003001131745 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

11003001131745 is an abundant number, since it is smaller than the sum of its proper divisors (12049874200863).

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

11003001131745 is a wasteful number, since it uses less digits than its factorization.

11003001131745 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2627953 (or 2627937 counting only the distinct ones).

The product of its (nonzero) digits is 1260, while the sum is 27.

Adding to 11003001131745 its reverse (54713110030011), we get a palindrome (65716111161756).

The spelling of 11003001131745 in words is "eleven trillion, three billion, one million, one hundred thirty-one thousand, seven hundred forty-five".