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1131185148013 is a prime number
BaseRepresentation
bin10000011101011111111…
…000111001000001101101
311000010210020102102112201
4100131133320321001231
5122013131344214023
62223354223301501
7144503552053264
oct20353770710155
94003706372481
101131185148013
113a6807587298
1216329374a891
138289386468b
143ca6d0975db
151e65867ebad
hex1075fe3906d

1131185148013 has 2 divisors, whose sum is σ = 1131185148014. Its totient is φ = 1131185148012.

The previous prime is 1131185147903. The next prime is 1131185148017. The reversal of 1131185148013 is 3108415811311.

It is a happy number.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 1117982678409 + 13202469604 = 1057347^2 + 114902^2 .

It is a cyclic number.

It is not a de Polignac number, because 1131185148013 - 237 = 993746194541 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (1131185148017) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 565592574006 + 565592574007.

It is an arithmetic number, because the mean of its divisors is an integer number (565592574007).

Almost surely, 21131185148013 is an apocalyptic number.

It is an amenable number.

1131185148013 is a deficient number, since it is larger than the sum of its proper divisors (1).

1131185148013 is an equidigital number, since it uses as much as digits as its factorization.

1131185148013 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 11520, while the sum is 37.

The spelling of 1131185148013 in words is "one trillion, one hundred thirty-one billion, one hundred eighty-five million, one hundred forty-eight thousand, thirteen".